Regularity results for Hölder minimizers to functionals with non-standard growth

2024/04/18 by Antonio Giuseppe Grimaldi, Grimaldi, Antonio Giuseppe, Erica Ipocoana +1 · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2404.12053

openalex publication_date 2024/04/18 · openalex created_date 2024/04/20 · openalex updated_date 2026/08/01

Abstract

We study the regularity properties of Hölder continuous minimizers to non-autonomous functionals satisfying (p,q)-growth conditions, under Besov assumptions on the coefficients. In particular, we are able to prove higher integrability and higher differentiability results for solutions to our minimum problem.

Cited by

• Regularity for minimizers of degenerate, non-autonomous, orthotropic integral functionals

Related

• Boundary regularity results for minimisers of convex functionals with (p,q)-growth
• Regularity for nonlocal problems with non-standard growth
• Regularity for minimizers of a class of non-autonomous functionals with sub-quadratic growth
• Regularity results for minimizers of non-autonomous integral functionals
• H "older continuity of the minimizer of an obstacle problem with\n generalized Orlicz growth